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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=2, a2>=2 > For fixed z and a1=2, a2=7/2, a3>=7/2 > For fixed z and a1=2, a2=7/2, a3=4 > For fixed z and a1=2, a2=7/2, a3=4, b1=-5/2





http://functions.wolfram.com/07.27.03.attm.01









  


  










Input Form





HypergeometricPFQ[{2, 7/2, 4}, {-(5/2), -(5/2)}, -z] == (1/(800 (1 + z)^14)) (800 + 7616 z + 76384 z^2 - 8744064 z^3 + 1886095904 z^4 - 32624306624 z^5 + 143931275488 z^6 - 213895638528 z^7 + 113930144328 z^8 - 19961382168 z^9 + 818296143 z^10 - 943740 z^11 + 8820 z^12) - (9009 (-3072 z^(7/2) + 152576 z^(9/2) - 1402752 z^(11/2) + 4026880 z^(13/2) - 4238520 z^(15/2) + 1657656 z^(17/2) - 213213 z^(19/2) + 6006 z^(21/2)) ArcSinh[Sqrt[z]])/ (160 Sqrt[1 + z] (1 + 14 z + 91 z^2 + 364 z^3 + 1001 z^4 + 2002 z^5 + 3003 z^6 + 3432 z^7 + 3003 z^8 + 2002 z^9 + 1001 z^10 + 364 z^11 + 91 z^12 + 14 z^13 + z^14))










Standard Form





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MathML Form







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</apply> </apply> <apply> <times /> <cn type='integer'> 91 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 14 </cn> <ci> z </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02